Cody

# Problem 44337. Sums of Distinct Powers

Solution 1692055

Submitted on 14 Dec 2018 by Jessica Brown
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

### Test Suite

Test Status Code Input and Output
1   Pass
base=4;nstart=2;nend=6;y_correct=62; assert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))

ran = 2 3 4 5 6 bin = 0 1 num = 4 bin = 1 1 num = 5 bin = 0 0 1 num = 16 bin = 1 0 1 num = 17 bin = 0 1 1 num = 20

2   Pass
base=5;nstart=1;nend=1000;y_correct=1193853250; assert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))

ran = Columns 1 through 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Columns 16 through 30 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Columns 31 through 45 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 Columns 46 through 60 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Columns 61 through 75 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 Columns 76 through 90 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 Columns 91 through 105 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 Columns 106 through 120 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 Columns 121 through 135 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 Columns 136 through 150 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 Columns 151 through 165 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 Columns 166 through 180 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 Columns 181 through 195 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 Columns 196 through 210 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 Columns 211 through 225 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 Columns 226 through 240 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 Columns 241 through 255 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 Columns 256 through 270 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 Columns 271 through 285 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 Columns 286 through 300 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 Columns 301 through 315 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 Columns 316 through 330 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 Columns 331 through 345 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 Columns 346 through 360 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 Columns 361 through 375 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 Columns 376 through 390 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 Columns 391 through 405 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 Columns 406 through 420 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 Columns 421 through 435 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 Columns 436 through 450 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 Columns 451 through 465 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 Columns 466 through 480 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 Columns 481 through 495 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 Columns 496 through 510 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 Columns 511 through 525 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 Columns 526 through 540 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 Columns 541 through 555 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 Columns 556 through 570 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 Columns 571 through 585 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 Columns 586 through 600 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 Columns 601 through 615 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 Columns 616 through 630 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 Columns 631 through 645 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 Columns 646 through 660 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 Columns 661 through 675 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 Columns 676 through 690 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 Columns 691 through 705 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 Columns 706 through 720 706 707 708 709 710 711 712 713 714 715 716 717 718 ...

3   Pass
base=3;nstart=1;nend=1000;y_correct=14438162; assert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))

ran = Columns 1 through 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Columns 16 through 30 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Columns 31 through 45 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 Columns 46 through 60 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Columns 61 through 75 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 Columns 76 through 90 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 Columns 91 through 105 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 Columns 106 through 120 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 Columns 121 through 135 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 Columns 136 through 150 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 Columns 151 through 165 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 Columns 166 through 180 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 Columns 181 through 195 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 Columns 196 through 210 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 Columns 211 through 225 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 Columns 226 through 240 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 Columns 241 through 255 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 Columns 256 through 270 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 Columns 271 through 285 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 Columns 286 through 300 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 Columns 301 through 315 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 Columns 316 through 330 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 Columns 331 through 345 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 Columns 346 through 360 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 Columns 361 through 375 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 Columns 376 through 390 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 Columns 391 through 405 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 Columns 406 through 420 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 Columns 421 through 435 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 Columns 436 through 450 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 Columns 451 through 465 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 Columns 466 through 480 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 Columns 481 through 495 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 Columns 496 through 510 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 Columns 511 through 525 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 Columns 526 through 540 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 Columns 541 through 555 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 Columns 556 through 570 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 Columns 571 through 585 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 Columns 586 through 600 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 Columns 601 through 615 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 Columns 616 through 630 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 Columns 631 through 645 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 Columns 646 through 660 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 Columns 661 through 675 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 Columns 676 through 690 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 Columns 691 through 705 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 Columns 706 through 720 706 707 708 709 710 711 712 713 714 715 716 717 718 ...

4   Pass
base=3;nstart=100;nend=1000;y_correct=14397354; assert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))

ran = Columns 1 through 15 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 Columns 16 through 30 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 Columns 31 through 45 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 Columns 46 through 60 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 Columns 61 through 75 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 Columns 76 through 90 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 Columns 91 through 105 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 Columns 106 through 120 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 Columns 121 through 135 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 Columns 136 through 150 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 Columns 151 through 165 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 Columns 166 through 180 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 Columns 181 through 195 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 Columns 196 through 210 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 Columns 211 through 225 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 Columns 226 through 240 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 Columns 241 through 255 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 Columns 256 through 270 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 Columns 271 through 285 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 Columns 286 through 300 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 Columns 301 through 315 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 Columns 316 through 330 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 Columns 331 through 345 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 Columns 346 through 360 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 Columns 361 through 375 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 Columns 376 through 390 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 Columns 391 through 405 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 Columns 406 through 420 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 Columns 421 through 435 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 Columns 436 through 450 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 Columns 451 through 465 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 Columns 466 through 480 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 Columns 481 through 495 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 Columns 496 through 510 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 Columns 511 through 525 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 Columns 526 through 540 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 Columns 541 through 555 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 Columns 556 through 570 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 Columns 571 through 585 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 Columns 586 through 600 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 Columns 601 through 615 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 Columns 616 through 630 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 Columns 631 through 645 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 Columns 646 through 660 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 Columns 661 through 675 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 Columns 676 through 690 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 Columns 691 through 705 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 Columns 706 through 720 805 806 807 808 809 810 811 812 813 814 815 816 817 ...

5   Pass
base=2;nstart=1;nend=2017;y_correct=2035153; assert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))

ran = Columns 1 through 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Columns 16 through 30 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Columns 31 through 45 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 Columns 46 through 60 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Columns 61 through 75 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 Columns 76 through 90 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 Columns 91 through 105 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 Columns 106 through 120 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 Columns 121 through 135 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 Columns 136 through 150 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 Columns 151 through 165 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 Columns 166 through 180 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 Columns 181 through 195 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 Columns 196 through 210 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 Columns 211 through 225 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 Columns 226 through 240 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 Columns 241 through 255 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 Columns 256 through 270 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 Columns 271 through 285 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 Columns 286 through 300 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 Columns 301 through 315 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 Columns 316 through 330 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 Columns 331 through 345 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 Columns 346 through 360 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 Columns 361 through 375 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 Columns 376 through 390 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 Columns 391 through 405 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 Columns 406 through 420 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 Columns 421 through 435 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 Columns 436 through 450 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 Columns 451 through 465 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 Columns 466 through 480 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 Columns 481 through 495 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 Columns 496 through 510 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 Columns 511 through 525 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 Columns 526 through 540 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 Columns 541 through 555 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 Columns 556 through 570 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 Columns 571 through 585 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 Columns 586 through 600 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 Columns 601 through 615 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 Columns 616 through 630 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 Columns 631 through 645 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 Columns 646 through 660 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 Columns 661 through 675 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 Columns 676 through 690 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 Columns 691 through 705 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 Columns 706 through 720 706 707 708 709 710 711 712 713 714 715 716 717 718 ...

6   Pass
base=7;nstart=1234;nend=2345;y_correct=843569026324; assert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))

ran = Columns 1 through 15 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 Columns 16 through 30 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 Columns 31 through 45 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 Columns 46 through 60 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 Columns 61 through 75 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 Columns 76 through 90 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 Columns 91 through 105 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 Columns 106 through 120 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 Columns 121 through 135 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 Columns 136 through 150 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 Columns 151 through 165 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 Columns 166 through 180 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 Columns 181 through 195 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 Columns 196 through 210 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 Columns 211 through 225 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 Columns 226 through 240 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 Columns 241 through 255 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 Columns 256 through 270 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 Columns 271 through 285 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 Columns 286 through 300 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 Columns 301 through 315 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 Columns 316 through 330 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 Columns 331 through 345 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 Columns 346 through 360 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 Columns 361 through 375 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 Columns 376 through 390 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 Columns 391 through 405 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 Columns 406 through 420 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 Columns 421 through 435 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 Columns 436 through 450 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 Columns 451 through 465 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 Columns 466 through 480 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 Columns 481 through 495 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 Columns 496 through 510 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 Columns 511 through 525 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 Columns 526 through 540 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 Columns 541 through 555 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 Columns 556 through 570 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 Columns 571 through 585 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 Columns 586 through 600 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 Columns 601 through 615 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 Columns 616 through 630 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 Columns 631 through 645 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 Columns 646 through 660 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 Columns 661 through 675 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 Columns 676 through 690 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 Columns 691 through 705 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 Columns 706 through 720 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 ...

7   Pass
base=7;nstart=1;nend=10;y_correct=1265; assert(isequal(sum_distinct_powers(base,nstart,nend),y_correct))

ran = 1 2 3 4 5 6 7 8 9 10 bin = 1 num = 1 bin = 0 1 num = 7 bin = 1 1 num = 8 bin = 0 0 1 num = 49 bin = 1 0 1 num = 50 bin = 0 1 1 num = 56 bin = 1 1 1 num = 57 bin = 0 0 0 1 num = 343 bin = 1 0 0 1 num = 344 bin = 0 1 0 1 num = 350

8   Pass
nstart=1;nend=50; junk=arrayfun(@(base) sum_distinct_powers(base,nstart,nend),2:10); y_correct=[1275 7120 26365 75000 178591 374560 714465 1266280 2116675]; assert(isequal(junk,y_correct))

ran = Columns 1 through 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Columns 31 through 50 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 bin = 1 num = 1 bin = 0 1 num = 2 bin = 1 1 num = 3 bin = 0 0 1 num = 4 bin = 1 0 1 num = 5 bin = 0 1 1 num = 6 bin = 1 1 1 num = 7 bin = 0 0 0 1 num = 8 bin = 1 0 0 1 num = 9 bin = 0 1 0 1 num = 10 bin = 1 1 0 1 num = 11 bin = 0 0 1 1 num = 12 bin = 1 0 1 1 num = 13 bin = 0 1 1 1 num = 14 bin = 1 1 1 1 num = 15 bin = 0 0 0 0 1 num = 16 bin = 1 0 0 0 1 num = 17 bin = 0 1 0 0 1 num = 18 bin = 1 1 0 0 1 num = 19 bin = 0 0 1 0 1 num = 20 bin = 1 0 1 0 1 num = 21 bin = 0 1 1 0 1 num = 22 bin = 1 1 1 0 1 num = 23 bin = 0 0 0 1 1 num = 24 bin = 1 0 0 1 1 num = 25 bin = 0 1 0 1 1 num = 26 bin = 1 1 0 1 1 num = 27 bin = 0 0 1 1 1 num = 28 bin = 1 0 1 1 1 num = 29 bin = 0 1 1 1 1 num = 30 bin = 1 1 1 1 1 num = 31 bin = 0 0 0 0 0 1 num = 32 bin = 1 0 0 0 0 1 num = 33 bin = 0 1 0 0 0 1 num = 34 bin = 1 1 0 0 0 1 num = 35 bin = 0 0 1 0 0 1 num = 36 bin = 1 0 1 0 0 1 num = 37 bin = 0 1 1 0 0 1 num = 38 bin = 1 1 1 0 0 1 num = 39 bin = 0 0 0 1 0 1 num = 40 bin = 1 0 0 1 0 1 num = 41 bin = 0 1 0 1 0 1 num = 42 bin = 1 1 0 1 0 1 num = 43 bin = 0 0 1 1 0 1 num = 44 bin = 1 0 1 1 0 1 num = 45 bin = 0 1 1 1 0 1 num = 46 bin = 1 1 1 1 0 1 num = 47 bin = 0 0 0 0 1 1 num = 48 bin = 1 0 0 0 1 1 num = 49 bin = 0 1 0 0 1 1 num = 50 ran = Columns 1 through 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Columns 31 through 50 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 bin = 1 num = 1 bin = 0 1 num = 3 bin = 1 1 num = 4 bin = 0 0 1 num = 9 bin = 1 0 1 num = 10 bin = 0 1 1 num = 12 bin = 1 1 1 num = 13 bin = 0 0 0 1 num = 27 bin = 1 0 0 1 num = 28 bin = 0 1 0 1 num = 30 bin = 1 1 0 1 num = 31 bin = 0 0 1 1 num = 36 bin = 1 0 1 1 num = 37 bin = 0 1 1 1 num = 39 bin = 1 1 1 1 num = 40 bin = 0 0 0 0 1 num = 81 bin = 1 0 0 0 1 num = 82 bin = 0 1 0 0 1 num = 84 bin = 1 1 0 0 1 num = 85 bin = 0 0 1 0 1 num = 90 bin = 1 0 1 0 1 num = 91 bin = 0 1 1 0 1 num = 93 bin = 1 1 1 0 1 num = 94 bin = 0 0 0 1 1 num = 108 bin = 1 0 0 1 1 num = 109 bin = 0 1 0 1 1 num = 111 bin = 1 1 0 1 1 num = 112 bin = 0 0 1 1 1 num = 117 bin = 1 0 1 1 1 num = 118 bin = 0 1 1 1 1 num = 120 bin = 1 1 1 1 1 num = 121 bin = 0 0 0 0 0 1 num = 243 bin = 1 0 0 0 0 1 num = 244 bin = 0 1 0 0 0 1 num = 246 bin = 1 1 0 0 0 1 num = 247 bin = 0 0 1 0 0 1 num = 252 bin = 1 0 1 0 0 1 num = 253 bin = 0 1 1 0 0 1 num = 255 bin = 1 1 1 0 0 1 num = 256 bin = 0 0 0 1 0 1 num = 270 bin = 1 0 0 1 0 1 num = 271 bin = 0 1 0 1 0 1 num = 273 bin = 1 1 0 1 0 1 num = 274 bin = 0 0 1 1 0 1 num = 279 bin = 1 0 1 1 0 1 num = 280 bin = 0 1 1 1 0 1 num = 282 bin = 1 1 1 1 0 1 num = 283 bin = 0 0 0 0 1 1 num = 324 bin = 1 0 0 0 1 1 num = 325 bin = 0 1 0 0 1 1 num = 327 ran = Columns 1 through 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Columns 31 through 50 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 bin = 1 num = 1 bin = 0 1 num = 4 bin = 1 1 num = 5 bin = 0 0 1 num = 16 bin = 1 0 1 num = 17 bin = 0 1 1 num = 20 bin = 1 1 1 num = 21 bin = 0 0 0 1 num = 64 bin = 1 0 0 1 num = 65 bin = 0 1 0 1 num = 68 bin = 1 1 0 1 num = 69 bin = 0 0 1 1 num = 80 bin = 1 0 1 1 num = 81 bin = 0 1 1 1 num = 84 bin = 1 1 1 1 num = 85 bin = 0 0 0 0 1 num = 256 bin = 1 0 0 0 1 num = 257 bin = 0 1 0 0 1 num = 260 bin = 1 1 0 0 1 num = 261 bin = 0 0 1 0 1 num = 272 bin = 1 0 1 0 1 num = 273 bin = 0 1 1 0 1 num = 276 bin = 1 1 1 0 1 num = 277 bin = 0 0 0 1 1 num = 320 bin = 1 0 0 1 1 num = 321 bin = 0 1 0 1 1 num = 324 bin = 1 1 0 1 1 num = 325 bin = 0 0 1 1 1 num = 336 bin = 1 0 1 1 1 num = 337 bin = 0 1 1 1 1 num = 340 bin = 1 1 1 1 1 num = 341 bin = 0 0 0 0 0 1 num = 1024 bin = 1 0 0 0 0 1 num = 1025 bin = 0 1 0 0 0 1 num = 1028 bin = 1 1 0 0 0 1 num = 1029 bin = 0 0 1 0 0 1 num = 1040 bin = 1 0 1 0 0 1 num = 1041 bin = 0 1 1 0 0 1 num = 1044 bin = 1 1 1 0 0 1 num = 1045 bin = 0 0 0 1 0 1 num = 1088 bin = 1 0 0 1 0 1 num = 1089 bin = 0 1 0 1 0 1 num = 1092 bin = 1 1 0 1 0 1 num = 1093 bin = 0 0 1 1 0 1 num = 1104 bin = 1 0 1 1 0 1 num = 1105 bin = 0 1 1 1 0 1 num = 1108 bin = 1 1 1 1 0 1 num = 1109 bin = 0 0 0 0 1 1 num = 1280 bin = 1 0 0 0 1 1 num = 1281 bin = 0 1 0 0 1 1 num = 1284 ran = Columns 1 through 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Columns 31 through 50 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 bin = 1 num = 1 bin = 0 1 num = 5 bin = 1 1 num = 6 bin = 0 0 1 num = 25 bin = 1 ...